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Bimodules over Hom-Jordan and Hom-alternative algebras

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arxiv 1804.00835 v1 pith:2UIEF55U submitted 2018-04-03 math.RA

Sylvain Attan This is my paper · ORCID
classification math.RA
keywords algebrasbimoduleshom-alternativehom-jordanalternativedefinedendomorphismsgiven
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In this paper, bimodules over Hom-Jordan algebras and the ones over Hom-alternative algebras are defined. It is shown that bimodules over Jordan and alternative algebras are twisted into bimodules over Hom-Jordan and Hom-alternative algebras via endomorphisms respectively. Some relations between bimodules over Hom-associative, Hom-Jordan and Hom-alternative algebras, are given.

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  1. Structures and bimodules of simple Hom-alternative algebras

    math.RA 2019-08 conditional novelty 4.0 of 10

    Finite-dimensional simple Hom-alternative algebras are exactly twists of semi-simple alternative algebras by automorphisms, and their bimodules with invertible module twist are equivalent to bimodules of the untwisted...

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